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Finding the Fourth Proportional to 6,023.90, 9,023.70 and 5,046.48

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Solution

The fourth proportional to 6,023.90, 9,023.70 and 5,046.48 is: 7,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.90 : 9,023.70 = 5,046.48 : x
  2. Step 2: Convert to fraction form
    6,023.90/9,023.70 = 5,046.48/x
  3. Step 3: Cross multiply
    6,023.90x = 9,023.70 × 5,046.48
  4. Step 4: Simplify right side
    6,023.90x = 45,537,921.58
  5. Step 5: Solve for x
    x = 45,537,921.58/6,023.90
  6. Step 6: Final answer
    x = 7,559.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.